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Finding the Fourth Proportional to 328,492.60, 492,738.90 and 106,876.60

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Solution

The fourth proportional to 328,492.60, 492,738.90 and 106,876.60 is: 160,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,492.60 : 492,738.90 = 106,876.60 : x
  2. Step 2: Convert to fraction form
    328,492.60/492,738.90 = 106,876.60/x
  3. Step 3: Cross multiply
    328,492.60x = 492,738.90 × 106,876.60
  4. Step 4: Simplify right side
    328,492.60x = 52,662,258,319.74
  5. Step 5: Solve for x
    x = 52,662,258,319.74/328,492.60
  6. Step 6: Final answer
    x = 160,314.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.